Geodesic
Comparison of TVD and WENO schemes in the case of wave packet transport and vortex numerical diffusion problems
Matematičeskoe modelirovanie, Tome 23 (2011) no. 11, pp. 99-110.

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In the given paper, dissipative properties of TVD and WENO schemes are tested and compared. A brief review of limiters used in TVD schemes is presented. An iterative procedure of limiting minmod reconstruction is described. A procedure of WENO-reconstruction inside the cell for uniform grids is presented. For the test cases, a problem of wave packet transport and a problem of numerical diffusion of vortices are used. A problem of wave packet transport is solved for uniform and non-uniform grids. On the basis of comparison of theoretical and numerical solutions, dissipative properties of different limiters for TVD scheme and WENO scheme are estimated.
Keywords: TVD, limiting reconstruction, WENO
Mots-clés : transport equation, vortex, Euler equations. 
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S. V. Mikhailov; A. A. Savelyev. Comparison of TVD and WENO schemes in the case of wave packet transport and vortex numerical diffusion problems. Matematičeskoe modelirovanie, Tome 23 (2011) no. 11, pp. 99-110. http://geodesic.mathdoc.fr/item/MM_2011_23_11_a6/

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